Original Work

Semiclassical Partition Functions for Gravity and Cosmic Strings Archive paper, using branched cover representations and codimension 2 foliations of four-manifolds

Topspin Networks in Loop Quantum Gravity Archive paper, on a proposal to include topological data in spin networks.

Exotic Smoothness in 4 Dimensions and Semiclassical Euclidean Quantum Gravity Archive paper, published in the International Journal of Geometric Methods in Modern Physics.

Studying Topology with Topspin Networks A talk I gave during LOOPS 13 about how to determine the fundamental group of a spatial section using Topspin networks.

Topological Issues in (Loop) Quantum Gravity An introductory-level talk covering topological issues in quantum gravity and the Topspin networks.

Exotic Smoothness, Gravity, and Geometry A presentation I gave to the FSU mathematics club in the Fall of 2009.

Informal Mathematical Physics Seminar: Weekly seminar, primarily populated by myself and Dan Li (webpage). I presented some lectures on Spin Geometry In PhysicsSpectral Action PrincipleNoncommutative Geometry and Statistical Mechanics, and Seiberg-Witten Theory.

Dark Matter in Spiral Galaxies (Journal Club Presentation, 2006) I presented a pair of papers – General Relativity Resolves Galactic Rotation Without Exotic Dark Matter, and Perspectives on Galactic Dynamics via General Relativity, both by F.I. Cooperstock and S. Tieu

Soft Gamma Repeaters and Anamolous X-ray Pulsars: Magneters Presentation I gave about Magnetars, Fall 2006.

X-Rays from Galaxy Clusters Presentation I gave about X-rays from Galaxy Clusters, Fall 2006

The PNLF and Blue Stragglers: My Masters Thesis.

Useful Metrics and Geometry A list of some metrics and related quantities like Christoffel symbols, curvature forms, Reimann tensors, Ricci tensors, …